Nuprl Lemma : crng_properties
∀[r:CRng]. Comm(|r|;*)
Proof
Definitions occuring in Statement :
crng: CRng,
rng_times: *,
rng_car: |r|,
comm: Comm(T;op),
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
comm: Comm(T;op),
crng: CRng,
rng: Rng,
sq_stable: SqStable(P),
implies: P ⇒ Q,
squash: ↓T
Lemmas referenced :
rng_times_wf,
sq_stable__comm,
crng_wf,
rng_car_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
sqequalHypSubstitution,
isect_memberEquality,
isectElimination,
thin,
hypothesisEquality,
axiomEquality,
hypothesis,
lemma_by_obid,
setElimination,
rename,
independent_functionElimination,
imageMemberEquality,
baseClosed,
imageElimination
Latex:
\mforall{}[r:CRng]. Comm(|r|;*)
Date html generated:
2016_05_15-PM-00_20_54
Last ObjectModification:
2016_01_15-AM-08_51_35
Theory : rings_1
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